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12021113302029 = 32132191392992589
BaseRepresentation
bin1010111011101110001000…
…1100000010110000001101
31120120012121001110222022200
42232323202030002300031
53033423220001131104
641322231225232113
72350332252063636
oct256734214026015
946505531428280
1012021113302029
113915142084147
121421932632639
13692780924a00
142d7b79aa688d
1515ca6b79db39
hexaeee2302c0d

12021113302029 has 72 divisors (see below), whose sum is σ = 19934240508000. Its totient is φ = 6957838922112.

The previous prime is 12021113301979. The next prime is 12021113302057. The reversal of 12021113302029 is 92020331112021.

12021113302029 is a `hidden beast` number, since 12 + 0 + 2 + 111 + 330 + 202 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12021113302029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12021113301993 and 12021113302011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021113304029) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2520667 + ... + 5513255.

It is an arithmetic number, because the mean of its divisors is an integer number (276864451500).

Almost surely, 212021113302029 is an apocalyptic number.

12021113302029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12021113302029 is a deficient number, since it is larger than the sum of its proper divisors (7913127205971).

12021113302029 is a wasteful number, since it uses less digits than its factorization.

12021113302029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992779 (or 2992763 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12021113302029 in words is "twelve trillion, twenty-one billion, one hundred thirteen million, three hundred two thousand, twenty-nine".

Divisors: 1 3 9 13 19 39 57 117 139 169 171 247 417 507 741 1251 1521 1807 2223 2641 3211 5421 7923 9633 16263 23491 23769 28899 34333 70473 102999 211419 308997 446329 1338987 2992589 4016961 8977767 26933301 38903657 56859191 116710971 170577573 350132913 415969871 505747541 511732719 739169483 1247909613 1517242623 2217508449 3743728839 4551727869 5407608323 6652525347 7903427549 9609203279 16222824969 23710282647 28827609837 48668474907 70298908199 71130847941 86482829511 102744558137 210896724597 308233674411 632690173791 924701023233 1335679255781 4007037767343 12021113302029